JEE Mains · Physics · STD 12 - Dual nature of radiation and matter
- JEE Mains 2024
- Hard
- MCQ
Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). \(Assertion\) \(A\) : Number of photons increases with increase in frequency of light. \(Reason\) \(R\) : Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation. In the light of the above statements, choose the most appropriate answer from the options given below :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) A is not correct but \(R\) is correct.
Step-by-step Solution
Detailed explanation
Intensity of light \(\mathrm{I}=\frac{\mathrm{nh} \nu}{\mathrm{A}}\)
Here \(\mathrm{n}\) is no. of photons per unit time.
\(\mathrm{n}=\frac{\mathrm{IA}}{\mathrm{h} v}\) so on increasing frequency \(v, \mathrm{n}\) decreases taking intensity constant.
\(\mathrm{k}_{\max }=\mathrm{h} v-\phi\)
So on increasing \(v\), kinetic energy increases.
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